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A Fortin operator for two-dimensional Taylor-Hood elements

Published online by Cambridge University Press:  03 April 2008

Richard S. Falk
Richard S. Falk*
Affiliation:
Department of Mathematics, Rutgers University, Piscataway, NJ 08854-8019, USA. falk@math.rutgers.edu
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Abstract

A standard method for proving the inf-sup condition implying stability of finite element approximations for the stationary Stokes equations is to construct a Fortin operator. In this paper, we show how this can be done for two-dimensional triangular and rectangular Taylor-Hood methods, which use continuous piecewise polynomial approximations for both velocity and pressure.

Keywords

Finite elementStokes.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 42 , Issue 3 , May 2008 , pp. 411 - 424
Copyright
© EDP Sciences, SMAI, 2008

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References

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